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Finding the Fourth Proportional to 5,303.09, 7,954.70 and 1,605.35

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Solution

The fourth proportional to 5,303.09, 7,954.70 and 1,605.35 is: 2,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.09 : 7,954.70 = 1,605.35 : x
  2. Step 2: Convert to fraction form
    5,303.09/7,954.70 = 1,605.35/x
  3. Step 3: Cross multiply
    5,303.09x = 7,954.70 × 1,605.35
  4. Step 4: Simplify right side
    5,303.09x = 12,770,077.65
  5. Step 5: Solve for x
    x = 12,770,077.65/5,303.09
  6. Step 6: Final answer
    x = 2,408.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.